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On reconstruction of surfaces by shadow contours
-
A. H. Begmatov
Published/Copyright:
September 7, 2013
Abstract
- The problem of reconstruction of surfaces based on a given plane by their shadow contours is considered. The optical projection of the surface point and shadow contours with respect to perpendicular and optical projection is introduced. Necessary and sufficient conditions of unique reconstruction of a plane curve by complete set of optical and perpendicular projections of their points are presented. A uniqueness result on the problem is obtained in the case of smooth hat-shaped surface. A uniqueness theorem for the problem of simultaneous reconstruction of two nonintersecting piecewise-smooth hat-shaped surfaces by complete set of their shadows is proved.
Published Online: 2013-09-07
Published in Print: 2002-06
© 2013 by Walter de Gruyter GmbH & Co.
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- CONTENTS
- On reconstruction of surfaces by shadow contours
- An inverse problem for a generalized Kermack—McKendrick model
- On an inverse filtration problem in the harmonic analysis of finite time records
- Convergence rates of the continuous regularized Gauss—Newton method
- Generalized Arcangeli’s discrepancy principles for a class of regularization methods for solving ill-posed problems
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Articles in the same Issue
- CONTENTS
- On reconstruction of surfaces by shadow contours
- An inverse problem for a generalized Kermack—McKendrick model
- On an inverse filtration problem in the harmonic analysis of finite time records
- Convergence rates of the continuous regularized Gauss—Newton method
- Generalized Arcangeli’s discrepancy principles for a class of regularization methods for solving ill-posed problems
- A constraints relaxation technique for solving an identification of coefficients problem issued from hydrodynamic lubrication
